What is the equation in slope- intercept form of the line that passes through (-4, 2) and (12, 6)?

Answer 1

y = mx + b

m = (6 - 2)/(12 + 4) = 4/16 = 1/4

y = (1/4)x + b

6 = (1/4)(12) + b

6 = 3 + b

b = 3

You can also get b from

2 = (1/4)(-4) + b

2 = -1 + b

b = 3

y = (1/4)x + 3